Physics, asked by BrainlyHelper, 1 year ago

If tan2B = cot3B find B.


BrainlyHelper: please take a note that, B is acute angle.
JinKazama1: not Mentioned
JinKazama1: OK If it is acute then too B = 54° satisfy
JinKazama1: still Incomplete.

Answers

Answered by HappiestWriter012
0
Given,

tan2B = cot3B

We know that, tanx = cot( 90 - x)

Now,

cot ( 90 - 2B) = cot3B

Cancelling cotangent on both sides .

90 - 2B = 3B

90 = 5B

B= 18°

Also, We know cotx = tan( 90 - x)

tan2B= tan( 90 - 3B )

Cancelling tan on both sides.

2B= 90 - 3B

-90 = -5B

B = 18°



Hope helped!

JinKazama1: This is incomplete answer as there exists other values of B too.
JinKazama1: B = 54° also satisfy.
JinKazama1: Try to give the answer in general form.
Answered by TheKnowledge
7
Hey mate !!!

given , tan 2B = Cot 3B

now , tan2(90-B) =. Cot 3B

=> Cot( 90 - 2B) = Cot 3B

cancelling of Cot

we get 5B = 90 °

B = 18°

hope it helps:D

thanks

JinKazama1: This is incomplete answer.
JinKazama1: There exists other values of B that satisfy the given condition.
JinKazama1: Sorry, but try to give the answer in more general form.
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